Best LoRa chip for Arduino & TTN

Not chip but modules. There are two different options:

  1. Either SPI based where the LoRaWAN stack need to run on your MCU, or
  2. A module with its own dedicated MCU for LoRaWAN, using AT commands over serial interface.

For SX127x and the Arduino framework there is actually only one good open source LoRaWAN library: MCCI LMIC.

ATmega32xx based boards can be used with MCCI LMIC but do not leave much room for larger sketches due to limited memory resources of the ATmega32xx.

What is tutos? Do you mean tutorials?
Not a tutorial but a good and well documented example is: LMIC-node

Achieving low-power with LMIC is possible but is not evident.